Issue no. 1 Table of Contents

A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport
Mortar spectral method in axisymmetric domains
Consistency, accuracy and entropy behaviour of remeshed particle methods
The extended adjoint method
An analysis of the boundary layer in the 1D surface Cauchy-Born model
Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation
A general semilocal convergence result for Newton's method under centered conditions for the second derivative
The discrete compactness property for anisotropic edge elements on polyhedral domains
Error estimates for the ultra weak variational formulation in linear elasticity
A Static condensation Reduced Basis Element method : approximation and a posteriori error estimation
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs
Error estimates for a FitzHugh-Nagumo parameter-dependent reaction-diffusion system
Bound states of a converging quantum waveguide

Issue no. 2 Table of Contents

Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
Correctors and field fluctuations for the p ε (x)-laplacian with rough exponents : The sublinear growth case
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies
Stable discretization of a diffuse interface model for liquid-vapor flows with surface tension
The continuous Coupled Cluster formulation for the electronic Schrödinger equation
A priori error estimates for reduced order models in finance
A priori error analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem
Air entrainment in transient flows in closed water pipes : A two-layer approach
Time-dependent coupling of Navier-Stokes and Darcy flows
A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD
Optimized Schwarz Methods for the Bidomain system in electrocardiology
Analysis of an Asymptotic Preserving Scheme for Relaxation Systems

Issue no. 3 Table of Contents

Distinguishing and integrating aleatoric and epistemic variation in uncertainty quantification
On power series solutions for the Euler equation, and the Behr-Nečas-Wu initial datum
A piecewise P 2 -nonconforming quadrilateral finite element
Symmetric parareal algorithms for hamiltonian systems
A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines
Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints
Dual-mixed finite element methods for the Navier-Stokes equations
High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data
Macroscopic contact angle and liquid drops on rough solid surfaces via homogenization and numerical simulations
Convergence Rates of the POD-Greedy Method
An eddy current problem in terms of a time-primitive of the electric field with non-local source conditions
Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation

Issue no. 4 Table of Contents

Direct and inverse modeling of the cardiovascular and respiratory systems. Numéro spécial

Preface
Modeling of the oxygen transfer in the respiratory process
Mathematical Model of Blood Flow in an Anatomically Detailed Arterial Network of the Arm
A predictive method allowing the use of a single ionic model in numerical cardiac electrophysiology
A comparison of coupled and uncoupled solvers for the cardiac Bidomain model
Uncertainty quantification for data assimilation in a steady incompressible Navier-Stokes problem
Inverse modelling of image-based patient-specific blood vessels: zero-pressure geometry and in vivo stress incorporation
Optimal control of the bidomain system (III): Existence of minimizers and first-order optimality conditions
Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty
A quasi-variational inequality problem arising in the modeling of growing sandpiles
On uniqueness in electromagnetic scattering from biperiodic structures
Quadratic finite elements with non-matching grids for the unilateral boundary contact
Each H 1/2 -stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in R d

Issue no. 5 Table of Contents

On the convergence of the stochastic Galerkin method for random elliptic partial differential equations
Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics
Numerical analysis of parallel replica dynamics
A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations
A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
Modèle effectif de couche mince rugueuse périodique sur une structure semi-infinie
A 2D model for hydrodynamics and biology coupling applied to algae growth simulations
A simple and efficient scheme for phase field crystal simulation
A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model
Numerical Approximations of the Dynamical System Generated by Burgers' Equation with Neumann-Dirichlet Boundary Conditions
Lagrangian approach to deriving energy-preserving numerical schemes for the Euler-Lagrange partial differential equations
Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation
First order second moment analysis for stochastic interface problems based on low-rank approximation

Issue no. 6 Table of Contents

Error estimates for the Coupled Cluster method
Derivation of Langevin dynamics in a nonzero background flow field
Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions
Optimal uncertainty quantification for legacy data observations of Lipschitz functions
Lower and upper bounds for the Rayleigh conductivity of a perforated plate
Stabilized Galerkin methods for magnetic advection
A priori error estimates for finite element discretizations of a shape optimization problem
Conservation schemes for convection-diffusion equations with Robin boundary conditions
A class of nonparametric DSSY nonconforming quadrilateral elements
Automatic simplification of Darcy's equations with pressure dependent permeability
A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems - Analysis, assessments and applications to parameter estimation
Local Discontinuous Galerkin methods for fractional diffusion equations